Question

A scooter company gives the following specifications about its product
Weight of the scooter − 95 kg
Maximum speed − 60 km/h
Maximum engine power − 3⋅5 hp
Pick up time to get the maximum speed − 5 s
Check the validity of these specifications.

Answer 1

It needs 0.0353 hp power in which the scooter can not hit exactly 60 km / h in 54 seconds.

Explanation:

Step 1:

given values :-  

Adjust the speed of the scooter from zero to the speed news

Velocity v = 60 km/h = 60000 m / 3600 s = 16.67 m/s

t = 5 sec

We now know the scooter's kinetic energy at rest = 0

Step 2:

Scooter's kinetic energy at maximum speed = 1/2$mv^2$

= 1/2×0.95×$(16.67)^2$

= 0.5×0.95×$(16.67)^2$

=0.475×$(16.67)^2$

=0.475×277.8

=0.475×$(16.67)^2$

=0.475×277.88

=131.99 J

Step 3:

Here, work done by the engine =change in kinetic energy = 131.99 J .

The engine now needed power, P =work/time      

P =W/T      

P =131.99/5      

P = 26.399 W.

Change into Horsepower

P =26.399/746      [ 1hp = 746 W. ]

P = 0.0353 hp.

Therefore, it needs 0.0353 hp power in which the scooter can not hit exactly 60 km / h in 54 seconds.

Answer 2

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It needs 0.0353 hp power in which the scooter can not hit exactly 60 km/ h in 54 sec.